Wall clock time and date at job start Sat Apr 11 2020 06:11:59 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 C 1.53001 * 1 3 3 C 1.53001 * 109.47006 * 2 1 4 4 C 1.52991 * 109.47584 * 239.99568 * 2 1 3 5 5 N 1.46502 * 109.46905 * 119.99685 * 2 1 3 6 6 C 1.34780 * 120.00168 * 59.99990 * 5 2 1 7 7 O 1.21587 * 119.99411 * 355.07296 * 6 5 2 8 8 N 1.34773 * 120.00091 * 175.06663 * 6 5 2 9 9 C 1.46958 * 120.59411 * 185.21890 * 8 6 5 10 10 C 1.53367 * 108.63880 * 235.24906 * 9 8 6 11 11 N 1.46963 * 108.63774 * 310.57948 * 10 9 8 12 12 C 1.34768 * 120.59524 * 235.19898 * 11 10 9 13 13 O 1.21587 * 120.00049 * 5.20762 * 12 11 10 14 14 N 1.34775 * 120.00255 * 184.92705 * 12 11 10 15 15 C 1.46501 * 120.00113 * 175.28370 * 14 12 11 16 16 C 1.53008 * 109.47133 * 180.02562 * 15 14 12 17 17 C 1.52999 * 109.47319 * 180.02562 * 16 15 14 18 18 C 1.50699 * 109.47157 * 179.97438 * 17 16 15 19 19 H 1.07997 * 119.99869 * 359.97438 * 18 17 16 20 20 C 1.37878 * 119.99840 * 180.02562 * 18 17 16 21 21 N 1.31515 * 119.99789 * 359.97438 * 20 18 17 22 22 Si 1.86794 * 119.99848 * 180.02562 * 20 18 17 23 23 H 1.48500 * 109.47572 * 59.99568 * 22 20 18 24 24 H 1.48506 * 109.47177 * 179.97438 * 22 20 18 25 25 H 1.48500 * 109.47259 * 299.99734 * 22 20 18 26 26 C 1.46961 * 118.80869 * 55.47354 * 11 10 9 27 27 C 1.46963 * 120.59492 * 5.24881 * 8 6 5 28 28 H 1.08991 * 109.47336 * 300.00030 * 1 2 3 29 29 H 1.08999 * 109.46671 * 60.00576 * 1 2 3 30 30 H 1.09007 * 109.46713 * 179.97438 * 1 2 3 31 31 H 1.08997 * 109.46943 * 179.97438 * 3 2 1 32 32 H 1.08999 * 109.46868 * 299.99814 * 3 2 1 33 33 H 1.08998 * 109.46875 * 59.99558 * 3 2 1 34 34 H 1.08997 * 109.47765 * 300.00305 * 4 2 1 35 35 H 1.08999 * 109.47234 * 60.00200 * 4 2 1 36 36 H 1.09005 * 109.47614 * 180.02562 * 4 2 1 37 37 H 0.96997 * 120.00042 * 240.00826 * 5 2 1 38 38 H 1.09001 * 109.60772 * 115.50913 * 9 8 6 39 39 H 1.09002 * 109.75202 * 355.08354 * 9 8 6 40 40 H 1.09006 * 109.61378 * 190.83053 * 10 9 8 41 41 H 1.09005 * 109.74866 * 70.41014 * 10 9 8 42 42 H 0.97000 * 120.00196 * 355.29169 * 14 12 11 43 43 H 1.09001 * 109.47265 * 299.99705 * 15 14 12 44 44 H 1.08992 * 109.47204 * 60.00527 * 15 14 12 45 45 H 1.09006 * 109.46695 * 300.00127 * 16 15 14 46 46 H 1.08999 * 109.47286 * 59.99609 * 16 15 14 47 47 H 1.08997 * 109.46943 * 300.00190 * 17 16 15 48 48 H 1.09005 * 109.46648 * 59.99624 * 17 16 15 49 49 H 0.97001 * 119.99713 * 180.02562 * 21 20 18 50 50 H 1.08997 * 109.61157 * 64.26987 * 26 11 10 51 51 H 1.09007 * 109.60804 * 184.77451 * 26 11 10 52 52 H 1.09007 * 109.61186 * 244.49545 * 27 8 6 53 53 H 1.09005 * 109.60830 * 4.83210 * 27 8 6 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 6 1.5300 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 2.0401 -0.7213 -1.2491 5 7 2.0183 -0.6906 1.1962 6 6 1.6927 -1.9809 1.4096 7 8 0.9219 -2.5456 0.6578 8 7 2.2216 -2.6452 2.4562 9 6 1.9666 -4.0812 2.6368 10 6 1.3756 -4.3021 4.0347 11 7 2.2171 -3.6033 5.0162 12 6 2.7452 -4.2673 6.0633 13 8 2.6064 -5.4720 6.1518 14 7 3.4320 -3.5969 7.0095 15 6 3.9171 -4.3005 8.1993 16 6 4.6584 -3.3167 9.1068 17 6 5.1657 -4.0516 10.3492 18 6 5.8964 -3.0827 11.2427 19 1 5.9900 -2.0465 10.9531 20 6 6.4462 -3.5194 12.4293 21 7 6.3326 -4.7814 12.7815 22 14 7.3514 -2.3183 13.5371 23 1 6.4271 -1.2313 13.9486 24 1 7.8438 -3.0317 14.7429 25 1 8.5025 -1.7369 12.8008 26 6 2.4674 -2.1661 4.8387 27 6 3.0630 -1.9464 3.4377 28 1 -0.3633 0.5138 0.8899 29 1 -0.3633 0.5138 -0.8901 30 1 -0.3633 -1.0278 -0.0005 31 1 3.1300 1.4425 0.0005 32 1 1.6767 1.9563 -0.8900 33 1 1.6766 1.9563 0.8899 34 1 1.6768 -1.7489 -1.2492 35 1 1.6769 -0.2075 -2.1391 36 1 3.1302 -0.7217 -1.2489 37 1 2.5758 -0.2191 1.8348 38 1 2.9019 -4.6333 2.5437 39 1 1.2606 -4.4277 1.8821 40 1 1.3588 -5.3684 4.2605 41 1 0.3615 -3.9042 4.0729 42 1 3.6050 -2.6484 6.9027 43 1 3.0716 -4.7262 8.7397 44 1 4.5950 -5.0990 7.8981 45 1 5.5040 -2.8906 8.5667 46 1 3.9802 -2.5183 9.4081 47 1 4.3204 -4.4781 10.8894 48 1 5.8440 -4.8497 10.0475 49 1 6.7191 -5.0886 13.6165 50 1 1.5301 -1.6174 4.9307 51 1 3.1718 -1.8212 5.5957 52 1 4.0764 -2.3464 3.4016 53 1 3.0822 -0.8805 3.2101 RHF calculation, no. of doubly occupied orbitals= 66 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC000356966288.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:11:59 Heat of formation + Delta-G solvation = -51.740530 kcal Electronic energy + Delta-G solvation = -30112.343229 eV Core-core repulsion = 26019.430083 eV Total energy + Delta-G solvation = -4092.913145 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.67 seconds Orbital eigenvalues (eV) -41.11852 -40.08842 -37.96342 -36.58020 -35.49562 -34.35405 -33.42678 -32.48625 -31.33160 -30.91708 -28.00076 -27.81428 -27.58045 -26.45135 -24.33324 -23.57442 -22.70674 -21.15836 -20.66840 -19.92112 -19.56178 -18.80504 -17.42319 -16.72849 -16.45827 -16.10399 -15.94510 -15.76776 -15.34689 -14.79212 -14.70041 -14.63710 -14.55754 -14.33904 -14.00085 -13.96328 -13.79339 -13.37120 -13.02864 -12.75649 -12.48690 -12.44586 -12.29071 -12.01977 -11.99983 -11.91934 -11.77428 -11.72791 -11.55477 -11.54511 -11.46183 -10.90636 -10.73231 -10.64061 -10.12231 -10.11056 -9.88810 -9.58038 -9.46742 -9.36798 -9.15874 -8.86605 -8.42611 -8.38632 -6.03327 -4.06689 2.11906 2.65921 2.84417 3.25171 3.30165 3.35323 3.36773 3.37344 3.85683 4.30850 4.35941 4.42390 4.49189 4.50867 4.58645 4.65252 4.79305 4.99162 5.01568 5.09385 5.17182 5.20905 5.32267 5.33741 5.35610 5.38792 5.43649 5.49618 5.57926 5.60065 5.65453 5.67789 5.78105 5.88150 6.03021 6.13034 6.14796 6.23896 6.26761 6.47052 6.51912 6.58780 6.73955 6.94917 6.99030 7.57054 7.61499 7.74430 7.95115 7.98100 8.25644 8.35777 8.64772 8.99667 9.57380 11.07825 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.019077 B = 0.001800 C = 0.001675 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1467.351628 B =15551.959924 C =16716.327615 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.165 4.165 2 C 0.185 3.815 3 C -0.155 4.155 4 C -0.163 4.163 5 N -0.741 5.741 6 C 0.712 3.288 7 O -0.584 6.584 8 N -0.628 5.628 9 C 0.116 3.884 10 C 0.116 3.884 11 N -0.634 5.634 12 C 0.705 3.295 13 O -0.587 6.587 14 N -0.741 5.741 15 C 0.134 3.866 16 C -0.120 4.120 17 C 0.024 3.976 18 C -0.524 4.524 19 H 0.054 0.946 20 C 0.057 3.943 21 N -0.893 5.893 22 Si 0.894 3.106 23 H -0.277 1.277 24 H -0.287 1.287 25 H -0.277 1.277 26 C 0.099 3.901 27 C 0.098 3.902 28 H 0.052 0.948 29 H 0.060 0.940 30 H 0.083 0.917 31 H 0.061 0.939 32 H 0.074 0.926 33 H 0.062 0.938 34 H 0.077 0.923 35 H 0.062 0.938 36 H 0.052 0.948 37 H 0.393 0.607 38 H 0.071 0.929 39 H 0.106 0.894 40 H 0.107 0.893 41 H 0.068 0.932 42 H 0.392 0.608 43 H 0.062 0.938 44 H 0.064 0.936 45 H 0.053 0.947 46 H 0.053 0.947 47 H 0.019 0.981 48 H 0.019 0.981 49 H 0.262 0.738 50 H 0.074 0.926 51 H 0.092 0.908 52 H 0.078 0.922 53 H 0.086 0.914 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.859 12.439 -27.764 31.981 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.223 4.223 2 C 0.099 3.901 3 C -0.213 4.213 4 C -0.221 4.221 5 N -0.399 5.399 6 C 0.414 3.586 7 O -0.462 6.462 8 N -0.366 5.366 9 C -0.008 4.008 10 C -0.008 4.008 11 N -0.373 5.373 12 C 0.406 3.594 13 O -0.465 6.465 14 N -0.398 5.398 15 C 0.010 3.990 16 C -0.158 4.158 17 C -0.014 4.014 18 C -0.562 4.562 19 H 0.073 0.927 20 C -0.145 4.145 21 N -0.532 5.532 22 Si 0.721 3.279 23 H -0.203 1.203 24 H -0.213 1.213 25 H -0.203 1.203 26 C -0.026 4.026 27 C -0.027 4.027 28 H 0.071 0.929 29 H 0.079 0.921 30 H 0.102 0.898 31 H 0.080 0.920 32 H 0.093 0.907 33 H 0.081 0.919 34 H 0.096 0.904 35 H 0.081 0.919 36 H 0.071 0.929 37 H 0.230 0.770 38 H 0.089 0.911 39 H 0.124 0.876 40 H 0.125 0.875 41 H 0.086 0.914 42 H 0.227 0.773 43 H 0.080 0.920 44 H 0.082 0.918 45 H 0.072 0.928 46 H 0.072 0.928 47 H 0.038 0.962 48 H 0.038 0.962 49 H 0.071 0.929 50 H 0.092 0.908 51 H 0.110 0.890 52 H 0.096 0.904 53 H 0.104 0.896 Dipole moment (debyes) X Y Z Total from point charges -10.470 10.984 -28.086 31.923 hybrid contribution 1.008 1.501 1.081 2.106 sum -9.462 12.484 -27.006 31.220 Atomic orbital electron populations 1.22276 0.94181 1.04435 1.01399 1.20179 0.94412 0.91221 0.84279 1.22091 1.01602 0.94473 1.03140 1.22220 1.00808 1.02724 0.96314 1.45525 1.56896 1.10973 1.26489 1.15809 0.80391 0.81348 0.81088 1.90852 1.38637 1.68125 1.48545 1.47231 1.53382 1.10109 1.25915 1.21922 1.02048 0.79314 0.97498 1.21850 0.92941 0.99756 0.86226 1.47181 1.54433 1.08809 1.26876 1.15912 0.78701 0.85190 0.79578 1.90918 1.65192 1.12163 1.78199 1.45563 1.59190 1.12736 1.22261 1.21539 0.98301 0.95689 0.83422 1.21890 0.98386 0.97864 0.97644 1.19024 0.96310 0.95660 0.90370 1.21154 1.35061 0.95464 1.04505 0.92727 1.25031 0.96349 0.95164 0.97924 1.69956 1.45317 1.14534 1.23354 0.86640 0.80090 0.81082 0.80047 1.20274 1.21268 1.20268 1.22054 1.01458 0.82486 0.96625 1.22103 0.94978 0.97212 0.88378 0.92931 0.92148 0.89782 0.91951 0.90684 0.91916 0.90429 0.91912 0.92860 0.77009 0.91051 0.87622 0.87506 0.91352 0.77254 0.91963 0.91806 0.92806 0.92815 0.96231 0.96216 0.92858 0.90772 0.89015 0.90406 0.89577 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C -0.16 -1.20 8.40 37.16 0.31 -0.89 16 2 C 0.18 1.18 1.06 -131.82 -0.14 1.04 16 3 C -0.16 -0.61 8.59 37.16 0.32 -0.29 16 4 C -0.16 -1.16 8.40 37.15 0.31 -0.85 16 5 N -0.74 -4.95 5.02 -52.42 -0.26 -5.21 16 6 C 0.71 6.75 7.70 -86.92 -0.67 6.08 16 7 O -0.58 -7.36 11.99 5.29 0.06 -7.30 16 8 N -0.63 -5.20 2.95 -177.95 -0.52 -5.72 16 9 C 0.12 1.05 6.59 -3.60 -0.02 1.03 16 10 C 0.12 1.17 6.60 -3.60 -0.02 1.14 16 11 N -0.63 -6.87 2.94 -177.95 -0.52 -7.39 16 12 C 0.70 10.49 8.29 -86.93 -0.72 9.77 16 13 O -0.59 -11.21 15.76 5.29 0.08 -11.13 16 14 N -0.74 -10.35 5.47 -65.23 -0.36 -10.71 16 15 C 0.13 2.31 5.68 -4.04 -0.02 2.29 16 16 C -0.12 -2.27 5.27 -26.73 -0.14 -2.41 16 17 C 0.02 0.60 4.97 -27.88 -0.14 0.46 16 18 C -0.52 -14.38 9.11 -34.44 -0.31 -14.70 16 19 H 0.05 1.43 7.74 -52.49 -0.41 1.03 16 20 C 0.06 1.60 5.46 -17.82 -0.10 1.51 16 21 N -0.89 -26.54 13.29 55.43 0.74 -25.80 16 22 Si 0.89 21.21 29.54 -169.99 -5.02 16.19 16 23 H -0.28 -6.44 7.11 56.52 0.40 -6.04 16 24 H -0.29 -6.78 7.11 56.52 0.40 -6.38 16 25 H -0.28 -6.43 7.11 56.52 0.40 -6.03 16 26 C 0.10 0.70 6.59 -3.37 -0.02 0.68 16 27 C 0.10 0.58 6.58 -3.37 -0.02 0.56 16 28 H 0.05 0.37 8.14 -51.93 -0.42 -0.05 16 29 H 0.06 0.36 8.14 -51.93 -0.42 -0.06 16 30 H 0.08 0.85 6.00 -51.93 -0.31 0.54 16 31 H 0.06 0.22 8.14 -51.93 -0.42 -0.21 16 32 H 0.07 0.25 8.14 -51.93 -0.42 -0.17 16 33 H 0.06 0.22 8.14 -51.93 -0.42 -0.20 16 34 H 0.08 0.76 6.34 -51.93 -0.33 0.44 16 35 H 0.06 0.36 8.14 -51.93 -0.42 -0.06 16 36 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 37 H 0.39 1.74 5.95 -40.82 -0.24 1.49 16 38 H 0.07 0.66 8.14 -51.93 -0.42 0.24 16 39 H 0.11 1.00 7.00 -51.93 -0.36 0.64 16 40 H 0.11 1.22 6.99 -51.93 -0.36 0.86 16 41 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 42 H 0.39 4.27 5.94 -40.82 -0.24 4.03 16 43 H 0.06 1.15 8.14 -51.93 -0.42 0.73 16 44 H 0.06 1.19 8.14 -51.93 -0.42 0.77 16 45 H 0.05 0.97 8.14 -51.93 -0.42 0.55 16 46 H 0.05 0.97 8.14 -51.93 -0.42 0.55 16 47 H 0.02 0.52 8.14 -51.93 -0.42 0.09 16 48 H 0.02 0.52 8.14 -51.93 -0.42 0.10 16 49 H 0.26 7.36 8.31 -40.82 -0.34 7.02 16 50 H 0.07 0.49 8.14 -51.93 -0.42 0.06 16 51 H 0.09 0.54 5.61 -51.93 -0.29 0.25 16 52 H 0.08 0.48 8.14 -51.93 -0.42 0.06 16 53 H 0.09 0.28 5.61 -51.93 -0.29 -0.01 16 LS Contribution 411.46 15.07 6.20 6.20 Total: -1.00 -34.89 411.46 -10.16 -45.05 By element: Atomic # 1 Polarization: 9.57 SS G_CDS: -9.16 Total: 0.41 kcal Atomic # 6 Polarization: 6.81 SS G_CDS: -1.39 Total: 5.42 kcal Atomic # 7 Polarization: -53.90 SS G_CDS: -0.93 Total: -54.83 kcal Atomic # 8 Polarization: -18.57 SS G_CDS: 0.15 Total: -18.43 kcal Atomic # 14 Polarization: 21.21 SS G_CDS: -5.02 Total: 16.19 kcal Total LS contribution 6.20 Total: 6.20 kcal Total: -34.89 -10.16 -45.05 kcal The number of atoms in the molecule is 53 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC000356966288.mol2 53 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute -6.695 kcal (2) G-P(sol) polarization free energy of solvation -34.886 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -41.581 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.159 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.045 kcal (6) G-S(sol) free energy of system = (1) + (5) -51.741 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds